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Finding the Third Proportional to 4,385.81 and 9,621.28

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Solution

The third proportional to 4,385.81 and 9,621.28 is: 21,106.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,385.81 : 9,621.28 = 9,621.28 : x
  2. Step 2: Convert to fraction form
    4,385.81/9,621.28 = 9,621.28/x
  3. Step 3: Cross multiply
    4,385.81x = 9,621.28 × 9,621.28
  4. Step 4: Simplify right side
    4,385.81x = 92,569,052.89
  5. Step 5: Solve for x
    x = 92,569,052.89/4,385.81
  6. Step 6: Final answer
    x = 21,106.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.